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Finding the Fourth Proportional to 1,128.81, 1,558.50 and 709.62

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Solution

The fourth proportional to 1,128.81, 1,558.50 and 709.62 is: 979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.81 : 1,558.50 = 709.62 : x
  2. Step 2: Convert to fraction form
    1,128.81/1,558.50 = 709.62/x
  3. Step 3: Cross multiply
    1,128.81x = 1,558.50 × 709.62
  4. Step 4: Simplify right side
    1,128.81x = 1,105,942.77
  5. Step 5: Solve for x
    x = 1,105,942.77/1,128.81
  6. Step 6: Final answer
    x = 979.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.